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                        <h1 id="&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;iidindependent-and-identically-distributed">&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;IID(independent and identically distributed)</h1>
<h2 id="1&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;iid">1.&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;(i.i.d.)</h2>
<p>   &#x5728;&#x6982;&#x7387;&#x7EDF;&#x8BA1;&#x7406;&#x8BBA;&#x4E2D;&#xFF0C;<strong>&#x5982;&#x679C;&#x53D8;&#x91CF;&#x5E8F;&#x5217;&#x6216;&#x8005;&#x5176;&#x4ED6;&#x968F;&#x673A;&#x53D8;&#x91CF;&#x6709;&#x76F8;&#x540C;&#x7684;&#x6982;&#x7387;&#x5206;&#x5E03;&#xFF0C;&#x5E76;&#x4E14;&#x4E92;&#x76F8;&#x72EC;&#x7ACB;&#xFF0C;&#x90A3;&#x4E48;&#x8FD9;&#x4E9B;&#x968F;&#x673A;&#x53D8;&#x91CF;&#x662F;&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;&#x3002;</strong></p>
<p>   &#x5728;&#x897F;&#x74DC;&#x4E66;&#x4E2D;&#x89E3;&#x91CA;&#x662F;&#xFF1A;<strong>&#x8F93;&#x5165;&#x7A7A;&#x95F4;&#x4E2D;&#x7684;&#x6240;&#x6709;&#x6837;&#x672C;&#x670D;&#x4ECE;&#x4E00;&#x4E2A;&#x9690;&#x542B;&#x672A;&#x77E5;&#x7684;&#x5206;&#x5E03;&#xFF0C;&#x8BAD;&#x7EC3;&#x6570;&#x636E;&#x6240;&#x6709;&#x6837;&#x672C;&#x90FD;&#x662F;&#x72EC;&#x7ACB;&#x5730;&#x4ECE;&#x8FD9;&#x4E2A;&#x5206;&#x5E03;&#x4E0A;&#x91C7;&#x6837;&#x800C;&#x5F97;&#x3002;</strong></p>
<h2 id="2&#x7B80;&#x5355;&#x89E3;&#x91CA;-&#x2014;-&#x72EC;&#x7ACB;&#x3001;&#x540C;&#x5206;&#x5E03;&#x3001;&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;">2.&#x7B80;&#x5355;&#x89E3;&#x91CA; &#x2014; &#x72EC;&#x7ACB;&#x3001;&#x540C;&#x5206;&#x5E03;&#x3001;&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;</h2>
<p>&#xFF08;1&#xFF09;<strong>&#x72EC;&#x7ACB;</strong>&#xFF1A;&#x6BCF;&#x6B21;&#x62BD;&#x6837;&#x4E4B;&#x95F4;&#x6CA1;&#x6709;&#x5173;&#x7CFB;&#xFF0C;&#x4E0D;&#x4F1A;&#x76F8;&#x4E92;&#x5F71;&#x54CD;</p>
<p>&#x4E3E;&#x4F8B;&#xFF1A;&#x7ED9;&#x4E00;&#x4E2A;&#x9AB0;&#x5B50;&#xFF0C;&#x6BCF;&#x6B21;&#x629B;&#x9AB0;&#x5B50;&#x629B;&#x5230;&#x51E0;&#x5C31;&#x662F;&#x51E0;&#xFF0C;&#x8FD9;&#x662F;&#x72EC;&#x7ACB;&#xFF1B;&#x5982;&#x679C;&#x6211;&#x8981;&#x629B;&#x9AB0;&#x5B50;&#x4E24;&#x6B21;&#x4E4B;&#x548C;&#x5927;&#x4E8E;8&#xFF0C;&#x90A3;&#x4E48;&#x7B2C;&#x4E00;&#x6B21;&#x548C;&#x7B2C;&#x4E8C;&#x6B21;&#x629B;&#x5C31;&#x4E0D;&#x72EC;&#x7ACB;&#xFF0C;&#x56E0;&#x4E3A;&#x7B2C;&#x4E8C;&#x6B21;&#x629B;&#x7684;&#x7ED3;&#x679C;&#x548C;&#x7B2C;&#x4E00;&#x6B21;&#x76F8;&#x5173;&#x3002;</p>
<p>&#xFF08;2&#xFF09;<strong>&#x540C;&#x5206;&#x5E03;</strong>&#xFF1A;&#x6BCF;&#x6B21;&#x62BD;&#x6837;&#xFF0C;&#x6837;&#x672C;&#x670D;&#x4ECE;&#x540C;&#x4E00;&#x4E2A;&#x5206;&#x5E03;</p>
<p>&#x4E3E;&#x4F8B;&#xFF1A;&#x7ED9;&#x4E00;&#x4E2A;&#x9AB0;&#x5B50;&#xFF0C;&#x6BCF;&#x6B21;&#x629B;&#x9AB0;&#x5B50;&#x5F97;&#x5230;&#x4EFB;&#x610F;&#x70B9;&#x6570;&#x7684;&#x6982;&#x7387;&#x90FD;&#x662F;&#x516D;&#x5206;&#x4E4B;&#x4E00;&#xFF0C;&#x8FD9;&#x4E2A;&#x5C31;&#x662F;&#x540C;&#x5206;&#x5E03;</p>
<p>&#xFF08;3&#xFF09;<strong>&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;</strong>&#xFF1A;i.i.d.&#xFF0C;&#x6BCF;&#x6B21;&#x62BD;&#x6837;&#x4E4B;&#x95F4;&#x72EC;&#x7ACB;&#x800C;&#x4E14;&#x540C;&#x5206;&#x5E03;</p>
<h2 id="3&#x673A;&#x5668;&#x5B66;&#x4E60;&#x9886;&#x57DF;&#x7684;&#x91CD;&#x8981;&#x5047;&#x8BBE;">3.&#x673A;&#x5668;&#x5B66;&#x4E60;&#x9886;&#x57DF;&#x7684;&#x91CD;&#x8981;&#x5047;&#x8BBE;</h2>
<p>IID&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;&#x5373;&#x5047;&#x8BBE;<strong>&#x8BAD;&#x7EC3;&#x6570;&#x636E;&#x548C;&#x6D4B;&#x8BD5;&#x6570;&#x636E;&#x662F;&#x6EE1;&#x8DB3;&#x76F8;&#x540C;&#x5206;&#x5E03;&#x7684;&#xFF0C;&#x5B83;&#x662F;&#x901A;&#x8FC7;&#x8BAD;&#x7EC3;&#x6570;&#x636E;&#x83B7;&#x5F97;&#x7684;&#x6A21;&#x578B;&#x80FD;&#x591F;&#x5728;&#x6D4B;&#x8BD5;&#x96C6;&#x83B7;&#x5F97;&#x597D;&#x7684;&#x6548;&#x679C;&#x7684;&#x4E00;&#x4E2A;&#x57FA;&#x672C;&#x4FDD;&#x969C;&#x3002;</strong></p>
<h2 id="4&#x76EE;&#x524D;&#x53D1;&#x5C55;">4.&#x76EE;&#x524D;&#x53D1;&#x5C55;</h2>
<p>&#x673A;&#x5668;&#x5B66;&#x4E60;&#x5E76;&#x4E0D;&#x603B;&#x8981;&#x6C42;&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;&#xFF0C;&#x5728;&#x4E0D;&#x5C11;&#x95EE;&#x9898;&#x4E2D;&#x8981;&#x6C42;&#x6837;&#x672C;&#x6570;&#x636E;&#x91C7;&#x6837;&#x81EA;&#x540C;&#x4E00;&#x4E2A;&#x5206;&#x5E03;&#x662F;&#x56E0;&#x4E3A;&#x5E0C;&#x671B;&#x7528;&#x8BAD;&#x7EC3;&#x6570;&#x636E;&#x96C6;&#x5F97;&#x5230;&#x7684;&#x6A21;&#x578B;&#x53EF;&#x4EE5;&#x5408;&#x7406;&#x7684;&#x7528;&#x4E8E;&#x6D4B;&#x8BD5;&#x6570;&#x636E;&#x96C6;&#xFF0C;&#x4F7F;&#x7528;&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;&#x5047;&#x8BBE;&#x80FD;&#x591F;&#x89E3;&#x91CA;&#x5F97;&#x901A;&#x3002;</p>
<p>&#x76EE;&#x524D;<strong>&#x4E00;&#x4E9B;&#x673A;&#x5668;&#x5B66;&#x4E60;&#x5185;&#x5BB9;&#x5DF2;&#x7ECF;&#x4E0D;&#x518D;&#x56FF;&#x4E8E;&#x72EC;&#x7ACB;&#x540C;&#x5206;&#x5E03;&#x5047;&#x8BBE;&#x4E0B;&#xFF0C;&#x4E00;&#x4E9B;&#x95EE;&#x9898;&#x4F1A;&#x5047;&#x8BBE;&#x6837;&#x672C;&#x6CA1;&#x6709;&#x540C;&#x5206;&#x5E03;</strong>&#x3002;</p>

                    
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